Pith Number

pith:CZX5P4SI

pith:2018:CZX5P4SI64GZDGE23KIX43EASP

not attested not anchored not stored refs pending

Mass concentration and characterization of finite time blow-up solutions for the nonlinear Schr\"odinger equation with inverse-square potential

Abdelwahab Bensouilah, Van Duong Dinh

arxiv:1804.08752 v2 · 2018-04-23 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CZX5P4SI64GZDGE23KIX43EASP}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Nonlinear Schr\"{o}dinger equations with critical Hardy potential and Choquard nonlinearity

Receipt and verification

First computed	2026-05-18T00:17:16.200255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

166fd7f248f70d91989ada917e6c8093da52164b97cddb0f389b154e55ea8558

Aliases

arxiv: 1804.08752 · arxiv_version: 1804.08752v2 · doi: 10.48550/arxiv.1804.08752 · pith_short_12: CZX5P4SI64GZ · pith_short_16: CZX5P4SI64GZDGE2 · pith_short_8: CZX5P4SI

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/CZX5P4SI64GZDGE23KIX43EASP \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 166fd7f248f70d91989ada917e6c8093da52164b97cddb0f389b154e55ea8558

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82bc868d012a534f15f015e72a830ed18cb7bc6324fa48472418c7bce8238adf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-04-23T21:43:49Z",
    "title_canon_sha256": "8e9a8d9398f7334fc2e4838d1e50c2cd45d7d41a741ad0d802bbb3228a07a40c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.08752",
    "kind": "arxiv",
    "version": 2
  }
}